This is the web page of the Distinguished Lecture Series in the Mathematical Sciences at the University at Albany SUNY, hosted and sponsored by the Mathematics and Statistics Department and by the College of Arts and Sciences.

The 2018 distinguished lecture was given on 9/14/2018 by **Professor Alice Chang** from Princeton.

**Time:** September 14th, 2018, 3pm

**Place:** Lecture Center LC25

**Title:** On a fourth-order PDE and applications to problems in conformal geometry.

**Abstract:** In this talk, I will report the study of a 4-th order linear operator P4 with leading symbol the bi-Laplace operator discovered by Paneitz in 1983. It turns out P4 is a special case of the general class of GJMS operators with "conformal invariant" properties. I will report some recent progress on the study of P4 and its associated curvature Q4 on general n-dimensional manifolds with emphasis on the case when n = 4. I will also discuss some matching 3-rd order boundary operator of P4 on manifolds with boundary and some geometric applications.

The 2018 distinguished lecture was given on 3/9/2018 by **Professor Yum-Tong Siu** from Harvard.

**Time:** March 9th, 2018, 4pm

**Place:** Lecture Center LC19

**Title:** Analytic methods of constructing bundle sections and their geometric applications.

**Abstract:** Many important problems in complex geometry involve the construction of holomorphic sections of bundles with special properties. For example, the deformational invariance of plurigenera, the finite generation of the canonical ring, the abundance conjecture, effective results in algebraic geometry such as the Fujita conjecture, hyperbolicity problems, nonexistence problem for smooth Levi-flat hypersurface, the splitting of unstable plane bundle over complex projective space, algebraic-geometric techniques in the complex Neumann problem for weakly pseudoconvex domains. We will first discuss from scratch the background and the motivation of the methods of constructing holomorphic sections of bundles. Then we will focus on some recent results and unsolved problems and promising approaches to them.

The inaugural distinguished lecture was given on 2/22/2017 by **Professor Gunnar Carlsson** from Stanford.

**Time:** February 22nd, 2017, 3pm

**Place:** Lecture Center LC22

**Title:** The shape of big data

- Marius Beceanu
- Yunglong Feng
- Antun Milas
- Rongwei Yang,
**Chair.**

Comments about this page? Email mbeceanu@albany.edu.

Last modified: *September 29th, 2018*.